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We present a combined ab initio study of several gyrotropic effects inp-doped trigonal tellurium (effects that reverse direction with the handednessof the spiral chains in the atomic structure). The key ingredients in our studyare the k-space Berry curvature and intrinsic orbital magnetic moment impartedon the Bloch states by the chirality of the crystal structure. We show that theobserved sign reversal with temperature of the circular photogalvanic effectcan be explained by the presence of Weyl points near the bottom of theconduction band acting as sources and sinks of Berry curvature. The passage ofa current along the trigonal axis induces a rather small parallelmagnetization, which can nevertheless be detected by optical means (Faradayrotation of transmitted light) due to the high transparency of the sample. Inagreement with experiment, we find that when infrared light propagatesantiparallel to the current at low doping the current-induced optical rotationenhances the natural optical rotation. According to our calculations the planeof polarization rotates in the opposite sense to the bonded atoms in the spiralchains, in agreement with a recent experiment that contradicts earlier reports.

Gyrotropic effects in trigonal tellurium studied from first principles